Higher Equations of Motion Questions

1. a) State the three equations of motion.

b) List the five quantities with their units, which are involved in the three equations of motion.

2. A car initially travelling at 14ms-1 then accelerates at 1.2ms-2 for 6 seconds.

Calculate the final speed of the car.

3. How far will a vehicle travel if it accelerates at 1.8ms-2 from an initial speed of 8ms-1 to

a final speed of 17ms-1.

4. Calculate how far a vehicle will travel if, it has an initial velocity of 9ms-1 and accelerates at

1.7ms-2 for 4 seconds.

5. a) What is meant by the term ‘acceleration’?

b) Describe how you would use the equipment below to measure the acceleration of a trolley

down a ramp.

A trolley with card attached, a ramp, two light gates with timers and a metre ruler are

used in the experiment.

6. An object is initially travelling at 3ms-1 and then it accelerates at 1.4ms-2 for the next 4s.

It then accelerates at 2.2ms-2 for the next 5 seconds.

Plot this information onto a velocity-time graph and find:

a) Velocity of the object after 9 seconds.

b) Displacement of the object after 9 seconds.

7. An object has a constant acceleration of 4ms-2.

What does this mean?

8. The following graph shows how displacement of an object varies with time.

Describe the motion of the object between:

a) OP.

b) PQ.

9. The velocity–time graph shown below is for an object moving with a constant acceleration a.

Show that during the time interval t the object moves through a displacement s given by

s = ut + ½ at2.

10.

10. Continued

11.

(c) Calculate the distance between the starting lines for sprinters P and Q.

12.

12. Continued